(1) let "r" denote number of rabbits, "c" number of chickens
Set up the equations:
![r + c = 1000\\4r + 2c = 3150\\\\-2r -2c = -2000\\4r + 2c = 3150\\\\2r = 1150\implies r = 575\implies c = 425](https://tex.z-dn.net/?f=r%20%2B%20c%20%3D%201000%5C%5C4r%20%2B%202c%20%3D%203150%5C%5C%5C%5C-2r%20-2c%20%3D%20-2000%5C%5C4r%20%2B%202c%20%3D%203150%5C%5C%5C%5C2r%20%3D%201150%5Cimplies%20r%20%3D%20575%5Cimplies%20c%20%3D%20425)
Answer: There are 575 rabbits and 425 chickens
(2) m - number of Mike's stamps, a - number of Andrew's stamps.
Set up equations:
![m = 4a\\m-8 = 2(a+8)\\\\4a-8=2a + 16\\2a = 24\implies a = 12\implies m = 48\\](https://tex.z-dn.net/?f=m%20%3D%204a%5C%5Cm-8%20%3D%202%28a%2B8%29%5C%5C%5C%5C4a-8%3D2a%20%2B%2016%5C%5C2a%20%3D%2024%5Cimplies%20a%20%3D%2012%5Cimplies%20m%20%3D%2048%5C%5C)
Answer: Mike has 48 stamps. Andrew has 12 stamps.
Answer:
40
Step-by-step explanation:
The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets .
Let n be the number of baskets and let t be the mount of time it takes to make the basket. This means that:
n α t
=> n = kt
where k = constant of proportionality
She can make 4 baskets in every 1/2 hour.
This means that:
4 = k * 1/2
=> k = 4 * 2 = 8 baskets per hour
The time is now 5 hours (t = 5). Therefore:
n = 8 * 5 = 40 baskets
She can make 40 baskets in 5 hours.
Digit 3 has a value of 3*10000
Good afternoon/evening.
-4^4 = four to the fourth power = (-4)(-4)(-4)(-4) = 256
Remember, when a negative is multiplied by a negative it equals a positive.